Question
upstudy study bank question image url

33. \( \left(-\frac{3}{4}\right)^{3} \)

Ask by Burgess Goodwin. in the United States
Feb 04,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( \left(-\frac{3}{4}\right)^{3} = -\frac{27}{64} \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Bonus Knowledge

When you raise \(-\frac{3}{4}\) to the power of 3, you're multiplying it by itself three times: \(-\frac{3}{4} \times -\frac{3}{4} \times -\frac{3}{4}\). The first two negative signs multiply together to give a positive result, specifically positive \(\frac{9}{16}\). Then, multiply this by the third negative, which gives you \(-\frac{27}{64}\). So, \( \left(-\frac{3}{4}\right)^{3} = -\frac{27}{64}\)! Now, when dealing with negative bases, remember that odd powers preserve the negative sign, which can trip up some folks. So always check if the exponent is odd or even as it will change the outcome!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy